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2016, Number 4  


Mathematics
Homological triviality of the category of $L_p$
N. T. Nemesh
3
Maximal number of Boolean functions realized by an initial Boolean automaton with two constant states
L. N. Sysoeva
12
Description of a potential vector field without sources near null points of higher orders in 3D space
A. T. Lukashenko
18
Convergence of products of operator orientations
D. V. Fufaev
23
Complete systems of monadic predicates for Post classes
S. V. Bykovskaya
33

Mechanics
Displacement of a viscous fluid from a circular Hele-Shaw cell with a sink
O. A. Logvinov, E. I. Skryleva
39
Two-stage destruction of a meteoroid with a final burst
L. A. Egorova, V. V. Lokhin
43
Nonstationary axisymmetric deformation of an elastic medium with a spherical cavity under the action of volume forces
V. A. Vestyak, D. V. Tarlakovskii
48
Qualitative analysis of the brachistochrone problem with a dry friction and maximization of horizontal distance
A. V. Zarodnyuk, O. Yu. Cherkasov
54

Short notes
Arithmetical realizability and primitive recursive realizability
A. Yu. Konovalov
60
The uniformly normal spaces
A. V. Bogomolov
64
Reduction of the Matier equation to a nonlinear first order one
V. M. Budanov
66

Viktor Yakovlevich Shkadov to 80th anniversary
V. N. Chubarikov, A. N. Osiptsov, D. V. Georgievskii, A. M. Golovin, V. N. Varapaev, E. A. Demekhin, A. E. Kulago, V. K. Akhmetov, P. N. Konon, A. N. Beloglazkin, E. I. Mogilevskii, A. I. Aleksyuk
70
 
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